Multiple choice

A shopkeeper sold two articles for Rs. 9,831 each. On one he gained 13% and on the other, he lost 13%. What is the overall percentage gain or loss?

  1. 6.5% loss

  2. 6.5% gain

  3. 1.69% gain

  4. 1.69% loss
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

When selling two items at the same price with equal percentage gain and loss, the overall result is always a loss of (x^2)/100 percent. Here, (13^2)/100 = 169/100 = 1.69% loss.

AI explanation

When two articles are sold at the same price with a gain of x% and a loss of x%, the net result is always a loss. Using the formula for net loss percentage, (x squared / 100) percent, we substitute x with 13. Therefore, 13 squared divided by 100 equals 169 divided by 100, resulting in a 1.69% loss.

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